Answer:
-2
Step-by-step explanation:
Slope = (4-8) / (9-7) = -4/2 = -2
<span>Given:
xbar = 20 min
standard deviation = 8 min
total sample = 240
Required:
how many gym members are expected to spend 4 min and 36 min on a treadmill today
Solution:
sd</span>² = (∑(x - xbar)²) / N - 1
there are 42 gym members at 4 minutes and 200 gym members in 36 minutes.
To solve this problem, we make use of the z statistic. The formula for the z score is:z score = (x – u) / swhere x is the sample value = 0.90, u is the sample mean = 0.917, and s is the standard deviation = 0.005
Therefore:z score = (0.90 – 0.917) / 0.005z score = -3.4
From the standard probability tables, the p-value for a right tailed test of z = -3.4 is:P = 0.9997
Therefore there is a 99.97% chance that it will be above 0.90 mm
The answer is C. is right
Answer:
vertex = (- 5, - 8)
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0
Then the x- coordinate of the vertex is
= - 
Given x² + 10x = - 17 ( add 17 to both sides )
x² + 10x + 17 = 0 ← in standard form
with a = 1, b = 10, c = 17, then
= - 
= - 5
Substitute x = - 5 into the quadratic for the corresponding value of y
y = (- 5)² + 10(- 5) + 17 = 25 - 50 + 17 = - 8
Hence vertex = (- 5, - 8)
